**Asked by:**Milo Farrell

**Updated:**12 October 2021 01:19:00 PM

# How to find the exterior angle of a regular polygon?

The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

## In light of this, how do you find the exterior angle of a polygon given the sides?

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.## With allowance for this, how do you find the exterior angle of a regular pentagon?

Or, using the formula for the sum of interior angles, 180 (n - 2) , where n = 5, gives 540 degrees. The pentagon is regular, so 540/5 gives 108 for each interior angle. The exterior and interior angles are supplementary, so the exterior angle = 180 - 108 = 72.## Moreover, what is called exterior angle?

In contrast, an exterior angle (also called an external angle or turning angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.## Do you have your own answer or clarification?

### Related questions and answers

#### What is the measure of the largest exterior angle?

The largest exterior angle is 180∘−75∘=105∘ .

#### What is exterior angle example?

The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are "Supplementary Angles".

#### What is the measure of an exterior angle of a regular 11 sided polygon?

So the value of exterior angle in 11 sided polygon is = 32.72 degree.

#### Is it possible to have a regular polygon each of whose exterior angle is 90 degree?

Hence it is possible to have a regular polygon whose each exterior angle is 40% of a right angle.

#### What is the exterior angle of a 30 sided polygon?

So, for your 30-gon, the interior angles total up to (30-2) * 180 = 5040. Each interior angle is that total divided by the number of interior angles, or 5040/30 = 168º: The measure of each exterior angle is the total divided by the number of angles, or 360/30 = 12º.

#### What is the exterior angle of a 20 sided polygon?

Regular Polygons

Sides | Name | Exterior Angles |
---|---|---|

18 | Octdecagon | 20.00° |

19 | Enneadecagon | 18.95° |

20 | Icosagon | 18.00° |

30 | Triacontagon | 12.00° |

#### How many sides does a regular polygon have if the measure of an exterior angle is 60 degree?

n*60=360 => n=6. n(number of sides) = 6.

#### What is the exterior angle of a regular 7 sided polygon?

Regular Polygons

Sides | Name | Exterior Angles |
---|---|---|

6 | Hexagon | 60.00° |

7 | Heptagon | 51.43° |

8 | Octagon | 45.00° |

9 | Nonagon | 40.00° |

#### Is it possible to have a regular polygon each of whose interior angles is 45 degrees?

No it is not possible to have a regular polygon each of whose interior angle is 45°.

#### What is the measure of an exterior angle of a regular Nonagon?

Answer: The measure of an exterior angle of a regular nonagon is 40 degree. Let's understand the solution. Explanation: By using the formula (n - 2) × 180 / n, we can find the measure of an interior angle of a regular polygon.

#### Is it possible to have a regular polygon each of whose exterior angle is 22 degree?

No it is not possible to have each exterior angle 22 degrees.

#### What is the exterior angle of a 13 sided polygon?

Regular Polygons

Sides | Name | Exterior Angles |
---|---|---|

13 | Triskaidecagon | 27.69° |

14 | Tetrakaidecagon | 25.71° |

15 | Pendedecagon | 24.00° |

16 | Hexdecagon | 22.50° |

#### What is the size of an exterior angle of a shape with 18 sides?

He goes on further to explain the formula by taking an 18-sided regular polygon as example and computes its exterior angle as 360/18, which is 20 degrees.